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<title>Class template dense_output_runge_kutta&lt;Stepper, explicit_controlled_stepper_fsal_tag&gt;</title>
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<h2><span class="refentrytitle">Class template dense_output_runge_kutta&lt;Stepper, explicit_controlled_stepper_fsal_tag&gt;</span></h2>
<p>boost::numeric::odeint::dense_output_runge_kutta&lt;Stepper, explicit_controlled_stepper_fsal_tag&gt; — The class representing dense-output Runge-Kutta steppers with FSAL property. </p>
</div>
<h2 xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv-title">Synopsis</h2>
<div xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv"><pre class="synopsis"><span class="comment">// In header: &lt;<a class="link" href="../../../header/boost/numeric/odeint/stepper/dense_output_runge_kutta_hpp.html" title="Header &lt;boost/numeric/odeint/stepper/dense_output_runge_kutta.hpp&gt;">boost/numeric/odeint/stepper/dense_output_runge_kutta.hpp</a>&gt;

</span><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> Stepper<span class="special">&gt;</span> 
<span class="keyword">class</span> <a class="link" href="dense_ou_idm45749803124096.html" title="Class template dense_output_runge_kutta&lt;Stepper, explicit_controlled_stepper_fsal_tag&gt;">dense_output_runge_kutta</a><span class="special">&lt;</span><span class="identifier">Stepper</span><span class="special">,</span> <span class="identifier">explicit_controlled_stepper_fsal_tag</span><span class="special">&gt;</span> <span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
  <span class="comment">// types</span>
  <span class="keyword">typedef</span> <span class="identifier">Stepper</span>                               <a name="boost.numeric.odeint.dense_ou_idm45749803124096.controlled_stepper_type"></a><span class="identifier">controlled_stepper_type</span><span class="special">;</span>  
  <span class="keyword">typedef</span> <span class="identifier">controlled_stepper_type</span><span class="special">::</span><span class="identifier">stepper_type</span> <a name="boost.numeric.odeint.dense_ou_idm45749803124096.stepper_type"></a><span class="identifier">stepper_type</span><span class="special">;</span>             
  <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">state_type</span>              <a name="boost.numeric.odeint.dense_ou_idm45749803124096.state_type"></a><span class="identifier">state_type</span><span class="special">;</span>               
  <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">wrapped_state_type</span>      <a name="boost.numeric.odeint.dense_ou_idm45749803124096.wrapped_state_type"></a><span class="identifier">wrapped_state_type</span><span class="special">;</span>       
  <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">value_type</span>              <a name="boost.numeric.odeint.dense_ou_idm45749803124096.value_type"></a><span class="identifier">value_type</span><span class="special">;</span>               
  <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">deriv_type</span>              <a name="boost.numeric.odeint.dense_ou_idm45749803124096.deriv_type"></a><span class="identifier">deriv_type</span><span class="special">;</span>               
  <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">wrapped_deriv_type</span>      <a name="boost.numeric.odeint.dense_ou_idm45749803124096.wrapped_deriv_type"></a><span class="identifier">wrapped_deriv_type</span><span class="special">;</span>       
  <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">time_type</span>               <a name="boost.numeric.odeint.dense_ou_idm45749803124096.time_type"></a><span class="identifier">time_type</span><span class="special">;</span>                
  <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">algebra_type</span>            <a name="boost.numeric.odeint.dense_ou_idm45749803124096.algebra_type"></a><span class="identifier">algebra_type</span><span class="special">;</span>             
  <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">operations_type</span>         <a name="boost.numeric.odeint.dense_ou_idm45749803124096.operations_type"></a><span class="identifier">operations_type</span><span class="special">;</span>          
  <span class="keyword">typedef</span> <span class="identifier">stepper_type</span><span class="special">::</span><span class="identifier">resizer_type</span>            <a name="boost.numeric.odeint.dense_ou_idm45749803124096.resizer_type"></a><span class="identifier">resizer_type</span><span class="special">;</span>             
  <span class="keyword">typedef</span> <span class="identifier">dense_output_stepper_tag</span>              <a name="boost.numeric.odeint.dense_ou_idm45749803124096.stepper_category"></a><span class="identifier">stepper_category</span><span class="special">;</span>         
  <span class="keyword">typedef</span> <span class="identifier">dense_output_runge_kutta</span><span class="special">&lt;</span> <span class="identifier">Stepper</span> <span class="special">&gt;</span>   <a name="boost.numeric.odeint.dense_ou_idm45749803124096.dense_output_stepper_type"></a><span class="identifier">dense_output_stepper_type</span><span class="special">;</span>

  <span class="comment">// <a class="link" href="dense_ou_idm45749803124096.html#boost.numeric.odeint.dense_ou_idm45749803124096construct-copy-destruct">construct/copy/destruct</a></span>
  <a class="link" href="dense_ou_idm45749803124096.html#idm45749803081104-bb"><span class="identifier">dense_output_runge_kutta</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">controlled_stepper_type</span> <span class="special">&amp;</span> <span class="special">=</span> <span class="identifier">controlled_stepper_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span>

  <span class="comment">// <a class="link" href="dense_ou_idm45749803124096.html#idm45749803108480-bb">public member functions</a></span>
  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateType<span class="special">&gt;</span> 
    <span class="keyword">void</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803107920-bb"><span class="identifier">initialize</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateType</span> <span class="special">&amp;</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">time_type</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">&gt;</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special">&lt;</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&gt;</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803104160-bb"><span class="identifier">do_step</span></a><span class="special">(</span><span class="identifier">System</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateOut<span class="special">&gt;</span> <span class="keyword">void</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803101760-bb"><span class="identifier">calc_state</span></a><span class="special">(</span><span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateOut<span class="special">&gt;</span> 
    <span class="keyword">void</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803098416-bb"><span class="identifier">calc_state</span></a><span class="special">(</span><span class="identifier">time_type</span><span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803095072-bb"><span class="identifier">resize</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateType<span class="special">&gt;</span> <span class="keyword">void</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803092688-bb"><span class="identifier">adjust_size</span></a><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateType</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803090304-bb"><span class="identifier">current_state</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="identifier">time_type</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803088496-bb"><span class="identifier">current_time</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803086688-bb"><span class="identifier">previous_state</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="identifier">time_type</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803084880-bb"><span class="identifier">previous_time</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="identifier">time_type</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803083072-bb"><span class="identifier">current_time_step</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>

  <span class="comment">// <a class="link" href="dense_ou_idm45749803124096.html#idm45749803079808-bb">private member functions</a></span>
  <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803079232-bb"><span class="identifier">get_current_state</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803077696-bb"><span class="identifier">get_current_state</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803075888-bb"><span class="identifier">get_old_state</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803074352-bb"><span class="identifier">get_old_state</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="identifier">deriv_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803072544-bb"><span class="identifier">get_current_deriv</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">const</span> <span class="identifier">deriv_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803071008-bb"><span class="identifier">get_current_deriv</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="identifier">deriv_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803069200-bb"><span class="identifier">get_old_deriv</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">const</span> <span class="identifier">deriv_type</span> <span class="special">&amp;</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803067664-bb"><span class="identifier">get_old_deriv</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="keyword">void</span> <a class="link" href="dense_ou_idm45749803124096.html#idm45749803065856-bb"><span class="identifier">toggle_current_state</span></a><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span>
<span class="special">}</span><span class="special">;</span></pre></div>
<div class="refsect1">
<a name="idm45491112674096"></a><h2>Description</h2>
<p>The interface is the same as for <a class="link" href="dense_output_runge_kutta.html" title="Class template dense_output_runge_kutta">dense_output_runge_kutta&lt; Stepper , stepper_tag &gt;</a>. This class provides dense output functionality based on methods with step size controlled</p>
<p>
</p>
<div class="refsect2">
<a name="idm45491112672048"></a><h3>Template Parameters</h3>
<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
<pre class="literallayout"><span class="keyword">typename</span> Stepper</pre>
<p>The stepper type of the underlying algorithm. </p>
</li></ol></div>
</div>
<div class="refsect2">
<a name="idm45491112668928"></a><h3>
<a name="boost.numeric.odeint.dense_ou_idm45749803124096construct-copy-destruct"></a><code class="computeroutput">dense_output_runge_kutta</code> 
        public
       construct/copy/destruct</h3>
<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><a name="idm45749803081104-bb"></a><span class="identifier">dense_output_runge_kutta</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">controlled_stepper_type</span> <span class="special">&amp;</span> stepper <span class="special">=</span> <span class="identifier">controlled_stepper_type</span><span class="special">(</span><span class="special">)</span><span class="special">)</span><span class="special">;</span></pre></li></ol></div>
</div>
<div class="refsect2">
<a name="idm45491112658544"></a><h3>
<a name="idm45749803108480-bb"></a><code class="computeroutput">dense_output_runge_kutta</code> public member functions</h3>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateType<span class="special">&gt;</span> 
  <span class="keyword">void</span> <a name="idm45749803107920-bb"></a><span class="identifier">initialize</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateType</span> <span class="special">&amp;</span> x0<span class="special">,</span> <span class="identifier">time_type</span> t0<span class="special">,</span> <span class="identifier">time_type</span> dt0<span class="special">)</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> System<span class="special">&gt;</span> 
  <span class="identifier">std</span><span class="special">::</span><span class="identifier">pair</span><span class="special">&lt;</span> <span class="identifier">time_type</span><span class="special">,</span> <span class="identifier">time_type</span> <span class="special">&gt;</span> <a name="idm45749803104160-bb"></a><span class="identifier">do_step</span><span class="special">(</span><span class="identifier">System</span> system<span class="special">)</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateOut<span class="special">&gt;</span> <span class="keyword">void</span> <a name="idm45749803101760-bb"></a><span class="identifier">calc_state</span><span class="special">(</span><span class="identifier">time_type</span> t<span class="special">,</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span> x<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateOut<span class="special">&gt;</span> 
  <span class="keyword">void</span> <a name="idm45749803098416-bb"></a><span class="identifier">calc_state</span><span class="special">(</span><span class="identifier">time_type</span> t<span class="special">,</span> <span class="keyword">const</span> <span class="identifier">StateOut</span> <span class="special">&amp;</span> x<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateIn<span class="special">&gt;</span> <span class="keyword">bool</span> <a name="idm45749803095072-bb"></a><span class="identifier">resize</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateIn</span> <span class="special">&amp;</span> x<span class="special">)</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> StateType<span class="special">&gt;</span> <span class="keyword">void</span> <a name="idm45749803092688-bb"></a><span class="identifier">adjust_size</span><span class="special">(</span><span class="keyword">const</span> <span class="identifier">StateType</span> <span class="special">&amp;</span> x<span class="special">)</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45749803090304-bb"></a><span class="identifier">current_state</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="identifier">time_type</span> <a name="idm45749803088496-bb"></a><span class="identifier">current_time</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45749803086688-bb"></a><span class="identifier">previous_state</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="identifier">time_type</span> <a name="idm45749803084880-bb"></a><span class="identifier">previous_time</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="identifier">time_type</span> <a name="idm45749803083072-bb"></a><span class="identifier">current_time_step</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
</ol></div>
</div>
<div class="refsect2">
<a name="idm45491112563280"></a><h3>
<a name="idm45749803079808-bb"></a><code class="computeroutput">dense_output_runge_kutta</code> private member functions</h3>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem"><pre class="literallayout"><span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45749803079232-bb"></a><span class="identifier">get_current_state</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45749803077696-bb"></a><span class="identifier">get_current_state</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45749803075888-bb"></a><span class="identifier">get_old_state</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">state_type</span> <span class="special">&amp;</span> <a name="idm45749803074352-bb"></a><span class="identifier">get_old_state</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="identifier">deriv_type</span> <span class="special">&amp;</span> <a name="idm45749803072544-bb"></a><span class="identifier">get_current_deriv</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">deriv_type</span> <span class="special">&amp;</span> <a name="idm45749803071008-bb"></a><span class="identifier">get_current_deriv</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="identifier">deriv_type</span> <span class="special">&amp;</span> <a name="idm45749803069200-bb"></a><span class="identifier">get_old_deriv</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="keyword">const</span> <span class="identifier">deriv_type</span> <span class="special">&amp;</span> <a name="idm45749803067664-bb"></a><span class="identifier">get_old_deriv</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li>
<li class="listitem"><pre class="literallayout"><span class="keyword">void</span> <a name="idm45749803065856-bb"></a><span class="identifier">toggle_current_state</span><span class="special">(</span><span class="keyword">void</span><span class="special">)</span><span class="special">;</span></pre></li>
</ol></div>
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        Distributed under the Boost Software License, Version 1.0. (See accompanying
        file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
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